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Simplifying 4x + -2 + 6x + 10 = 7x + 30 Reorder the terms: -2 + 10 + 4x + 6x = 7x + 30 Combine like terms: -2 + 10 = 8 8 + 4x + 6x = 7x + 30 Combine like terms: 4x + 6x = 10x 8 + 10x = 7x + 30 Reorder the terms: 8 + 10x = 30 + 7x Solving 8 + 10x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 10x + -7x = 30 + 7x + -7x Combine like terms: 10x + -7x = 3x 8 + 3x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 3x = 30 + 0 8 + 3x = 30 Add '-8' to each side of the equation. 8 + -8 + 3x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 30 + -8 3x = 30 + -8 Combine like terms: 30 + -8 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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